A complex symmetric matrix A can always be factored as Aâ=âUΣU T , in which U is complex unitary and Σ is a real diagonal matrix whose diagonal entries are the singular values of A. This factorization may be thought of as a special singular value decomposition for complex symmetric matrices. We present an analogous special singular value decomposition for a class of quaternion matrices that includes complex matrices that are symmetric or Hermitian.View full textDownload full textKeywordsAutonne-Takagi factorization, complex symmetric matrix, quaternion matrix, singular value decomposition, canonical formsAMS Subject Classifications:15A23, 15A33Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/03081087.2011.618838
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机译：复对称矩阵A始终可以分解为A≥U U U ，其中U是复unit，而Δ是实对角矩阵，其对角线项是奇异值这种分解可以被认为是复杂对称矩阵的特殊奇异值分解。我们为一类四元数矩阵提供了一个类似的特殊奇异值分解，其中包括对称或Hermitian的复杂矩阵。查看全文下载全文关键词Autonne-Takagi因子分解，复杂对称矩阵，四元数矩阵，奇异值分解，规范形式AMS主题分类：15A23 ，15A33相关的var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，services_compact：“ citeulike，netvibes，twitter，technorati，delicious，linkedin，facebook，stumbleupon，digg，google，更多”，发布日期：“ ra-4dff56cd6bb1830b”}；添加到候选列表链接永久链接http://dx.doi.org/10.1080/03081087.2011.618838
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